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Sperber, Steven I.

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Author ID: sperber.steven-i Recent zbMATH articles by "Sperber, Steven I."
Published as: Sperber, S.; Sperber, Steven; Sperber, Steven I.
Documents Indexed: 63 Publications since 1977, including 2 Books

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 332 times in 188 Documents Cited by Year
Exponential sums and Newton polyhedra: cohomology and estimates. Zbl 0723.14017
Adolphson, Alan; Sperber, Steven
56
1989
\(p\)-adic estimates for exponential sums and the theorem of Chevalley-Warning. Zbl 0654.12011
Adolphson, Alan; Sperber, Steven
27
1987
Newton polyhedra and the degree of the L-function associated to an exponential sum. Zbl 0623.12012
Adolphson, Alan; Sperber, Steven
21
1987
On the p-adic theory of exponential sums. Zbl 0588.14017
Sperber, Steven
20
1986
On the zeta function of monodromy of a polynomial map. Zbl 0968.14006
Libgober, A.; Sperber, S.
13
1995
On the degree of the \(L\)-function associated with an exponential sum. Zbl 0665.12022
Adolphson, Alan; Sperber, Steven
12
1988
Twisted exponential sums and Newton polyhedra. Zbl 0853.11067
Adolphson, Alan; Sperber, Steven
11
1993
p-adic hypergeometric functions and their cohomology. Zbl 0408.12025
Sperber, S.
10
1977
Exponential sums \(\text{mod }p^n\) and Newton polyhedra. Zbl 1046.11057
Denef, J.; Sperber, S.
9
2002
Congruence properties of the hyperkloosterman sum. Zbl 0444.12014
Sperber, S.
8
1980
On twisted exponential sums. Zbl 0716.11039
Adolphson, Alan; Sperber, Steven
7
1991
Arithmetic properties of power series solutions of algebraic differential equations. Zbl 0492.12012
Sibuya, Yasutaka; Sperber, Steven
7
1981
Zeta functions of alternate mirror Calabi-Yau families. Zbl 1403.14055
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula
6
2018
p-adic estimates for exponential sums. Zbl 0727.11056
Adolphson, Alan; Sperber, Steven
6
1990
Exponential sums on the complement of a hypersurface. Zbl 0444.12016
Adolphson, Alan; Sperber, Steven
6
1980
Distinguished-root formulas for generalized Calabi-Yau hypersurfaces. Zbl 1394.11054
Adolphson, Alan; Sperber, Steven
5
2017
Hasse invariants and mod \(p\) solutions of \(A\)-hypergeometric systems. Zbl 1295.11134
Adolphson, Alan; Sperber, Steven
5
2014
On twisted de Rham cohomology. Zbl 0915.14012
Adolphson, Alan; Sperber, Steven
5
1997
On the estimation of certain exponential sums. Zbl 0826.11040
Bombieri, E.; Sperber, S.
5
1995
Logarithmic decay and overconvergence of the unit root and associated zeta functions. Zbl 0765.14011
Dwork, B.; Sperber, S.
5
1991
Exponential sums on \((\mathbb{G}_ m)^ n\). Zbl 0764.11037
Adolphson, Alan; Sperber, Steven
5
1990
Newton polygons for general hyper-Kloosterman sums. Zbl 0582.14005
Sperber, Steven
5
1984
Twisted Kloosterman sums and \(p\)-adic Bessel functions. Zbl 0552.12010
Adolphson, Alan; Sperber, Steven
5
1984
On unit root formulas for toric exponential sums. Zbl 1251.11081
Adolphson, Alan; Sperber, Steven
4
2012
On the zeta function of a complete intersection. Zbl 0911.11030
Adolphson, Alan; Sperber, Steven
4
1996
Exponential sums and Newton polyhedra. Zbl 0634.12018
Adolphson, Alan; Sperber, Steven
4
1987
On the p-adic analyticity of solutions of linear differential equations. Zbl 0476.12018
Bombieri, E.; Sperber, S.
4
1982
\(A\)-hypergeometric series and the Hasse-Witt matrix of a hypersurface. Zbl 1416.11101
Adolphson, Alan; Sperber, Steven
3
2016
\(L\)-functions associated with families of toric exponential sums. Zbl 1296.11162
Haessig, C. Douglas; Sperber, Steven
3
2014
Computing zeta functions of nondegenerate hypersurfaces with few monomials. Zbl 1343.11097
Sperber, Steven; Voight, John
3
2013
\(A\)-hypergeometric systems that come from geometry. Zbl 1257.14016
Adolphson, Alan; Sperber, Steven
3
2012
Exponential sums nondegenerate relative to a lattice. Zbl 1207.11082
Adolphson, Alan; Sperber, Steven
3
2009
On the Jacobian ring of a complete intersection. Zbl 1110.14046
Adolphson, Alan; Sperber, Steven
3
2006
Exponential sums on \(\mathbb{A}^n\). Zbl 1034.11043
Adolphson, Alan; Sperber, Steven
3
2000
Exponential sums on \(\mathbb{A}^n\). III. Zbl 0987.11076
Adolphson, Alan; Sperber, Steven
3
2000
Twisted Kloosterman sums and \(p\)-adic Bessel functions. II: Newton polygons and analytic continuation. Zbl 0633.12007
Adolphson, Alan; Sperber, Steven
3
1987
On solutions of differential equations which satisfy certain algebraic relations. Zbl 0597.12026
Sperber, Steven
3
1986
Character sums in finite fields. Zbl 0561.12008
Adolphson, A.; Sperber, Steven
3
1984
On the L-functions associated with certain exponential sums. Zbl 0444.12015
Sperber, Steven I.
3
1980
Alternate mirror families and hypergeometric motives. Zbl 1448.14021
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula
2
2019
On the zeta function of a projective complete intersection. Zbl 1232.11092
Adolphson, Alan; Sperber, Steven
2
2008
Exponential sums on \(\mathbf{A}^n\). II. Zbl 1125.11337
Adolphson, Alan; Sperber, Steven
2
2004
Dwork cohomology, de Rham cohomology, and hypergeometric functions. Zbl 0980.14017
Adolphson, Alan; Sperber, Steven
2
2000
Exponential sums on \((\mathbb{F}_ q^*)^ n\). Zbl 0764.11036
Adolphson, A.; Sperber, S.
2
1990
Growth of solutions of linear differential equations at a logarithmic singularity. Zbl 0502.12017
Adolphson, A.; Dwork, B.; Sperber, S.
2
1982
Hypergeometric decomposition of symmetric \(K3\) quartic pencils. Zbl 1441.14128
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula
1
2020
On the integrality of factorial ratios and mirror maps. Zbl 1432.11068
Adolphson, Alan; Sperber, Steven
1
2020
\(p\)-adic variation of unit root \(L\)-functions. Zbl 1431.11132
Haessig, C. Douglas; Sperber, Steven
1
2017
Symmetric power \(L\)-functions for families of generalized Kloosterman sums. Zbl 1419.11103
Haessig, C. Douglas; Sperber, Steven
1
2017
On the degree of the zeta function of a complete intersection. Zbl 0946.14010
Adolphson, Alan; Sperber, Steven
1
1999
Monodromy, Gauss sums, and the slopes of Frobenius for generalized hyperkloosterman sums. Zbl 0623.12013
Sperber, Steven
1
1986
On the p-adic continuation of the logarithmic derivative of certain hypergeometric functions. Zbl 0589.12021
Sperber, Steven; Sibuya, Yasutaka
1
1985
Convergence of power series solutions of p-adic nonlinear differential equation. Zbl 0602.12009
Sibuya, Yasutaka; Sperber, Steven
1
1981
Some new results on power-series solutions of algebraic differential equations. Zbl 0515.34013
Sibuya, Yasutaka; Sperber, Steven
1
1980
Hypergeometric decomposition of symmetric \(K3\) quartic pencils. Zbl 1441.14128
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula
1
2020
On the integrality of factorial ratios and mirror maps. Zbl 1432.11068
Adolphson, Alan; Sperber, Steven
1
2020
Alternate mirror families and hypergeometric motives. Zbl 1448.14021
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula
2
2019
Zeta functions of alternate mirror Calabi-Yau families. Zbl 1403.14055
Doran, Charles F.; Kelly, Tyler L.; Salerno, Adriana; Sperber, Steven; Voight, John; Whitcher, Ursula
6
2018
Distinguished-root formulas for generalized Calabi-Yau hypersurfaces. Zbl 1394.11054
Adolphson, Alan; Sperber, Steven
5
2017
\(p\)-adic variation of unit root \(L\)-functions. Zbl 1431.11132
Haessig, C. Douglas; Sperber, Steven
1
2017
Symmetric power \(L\)-functions for families of generalized Kloosterman sums. Zbl 1419.11103
Haessig, C. Douglas; Sperber, Steven
1
2017
\(A\)-hypergeometric series and the Hasse-Witt matrix of a hypersurface. Zbl 1416.11101
Adolphson, Alan; Sperber, Steven
3
2016
Hasse invariants and mod \(p\) solutions of \(A\)-hypergeometric systems. Zbl 1295.11134
Adolphson, Alan; Sperber, Steven
5
2014
\(L\)-functions associated with families of toric exponential sums. Zbl 1296.11162
Haessig, C. Douglas; Sperber, Steven
3
2014
Computing zeta functions of nondegenerate hypersurfaces with few monomials. Zbl 1343.11097
Sperber, Steven; Voight, John
3
2013
On unit root formulas for toric exponential sums. Zbl 1251.11081
Adolphson, Alan; Sperber, Steven
4
2012
\(A\)-hypergeometric systems that come from geometry. Zbl 1257.14016
Adolphson, Alan; Sperber, Steven
3
2012
Exponential sums nondegenerate relative to a lattice. Zbl 1207.11082
Adolphson, Alan; Sperber, Steven
3
2009
On the zeta function of a projective complete intersection. Zbl 1232.11092
Adolphson, Alan; Sperber, Steven
2
2008
On the Jacobian ring of a complete intersection. Zbl 1110.14046
Adolphson, Alan; Sperber, Steven
3
2006
Exponential sums on \(\mathbf{A}^n\). II. Zbl 1125.11337
Adolphson, Alan; Sperber, Steven
2
2004
Exponential sums \(\text{mod }p^n\) and Newton polyhedra. Zbl 1046.11057
Denef, J.; Sperber, S.
9
2002
Exponential sums on \(\mathbb{A}^n\). Zbl 1034.11043
Adolphson, Alan; Sperber, Steven
3
2000
Exponential sums on \(\mathbb{A}^n\). III. Zbl 0987.11076
Adolphson, Alan; Sperber, Steven
3
2000
Dwork cohomology, de Rham cohomology, and hypergeometric functions. Zbl 0980.14017
Adolphson, Alan; Sperber, Steven
2
2000
On the degree of the zeta function of a complete intersection. Zbl 0946.14010
Adolphson, Alan; Sperber, Steven
1
1999
On twisted de Rham cohomology. Zbl 0915.14012
Adolphson, Alan; Sperber, Steven
5
1997
On the zeta function of a complete intersection. Zbl 0911.11030
Adolphson, Alan; Sperber, Steven
4
1996
On the zeta function of monodromy of a polynomial map. Zbl 0968.14006
Libgober, A.; Sperber, S.
13
1995
On the estimation of certain exponential sums. Zbl 0826.11040
Bombieri, E.; Sperber, S.
5
1995
Twisted exponential sums and Newton polyhedra. Zbl 0853.11067
Adolphson, Alan; Sperber, Steven
11
1993
On twisted exponential sums. Zbl 0716.11039
Adolphson, Alan; Sperber, Steven
7
1991
Logarithmic decay and overconvergence of the unit root and associated zeta functions. Zbl 0765.14011
Dwork, B.; Sperber, S.
5
1991
p-adic estimates for exponential sums. Zbl 0727.11056
Adolphson, Alan; Sperber, Steven
6
1990
Exponential sums on \((\mathbb{G}_ m)^ n\). Zbl 0764.11037
Adolphson, Alan; Sperber, Steven
5
1990
Exponential sums on \((\mathbb{F}_ q^*)^ n\). Zbl 0764.11036
Adolphson, A.; Sperber, S.
2
1990
Exponential sums and Newton polyhedra: cohomology and estimates. Zbl 0723.14017
Adolphson, Alan; Sperber, Steven
56
1989
On the degree of the \(L\)-function associated with an exponential sum. Zbl 0665.12022
Adolphson, Alan; Sperber, Steven
12
1988
\(p\)-adic estimates for exponential sums and the theorem of Chevalley-Warning. Zbl 0654.12011
Adolphson, Alan; Sperber, Steven
27
1987
Newton polyhedra and the degree of the L-function associated to an exponential sum. Zbl 0623.12012
Adolphson, Alan; Sperber, Steven
21
1987
Exponential sums and Newton polyhedra. Zbl 0634.12018
Adolphson, Alan; Sperber, Steven
4
1987
Twisted Kloosterman sums and \(p\)-adic Bessel functions. II: Newton polygons and analytic continuation. Zbl 0633.12007
Adolphson, Alan; Sperber, Steven
3
1987
On the p-adic theory of exponential sums. Zbl 0588.14017
Sperber, Steven
20
1986
On solutions of differential equations which satisfy certain algebraic relations. Zbl 0597.12026
Sperber, Steven
3
1986
Monodromy, Gauss sums, and the slopes of Frobenius for generalized hyperkloosterman sums. Zbl 0623.12013
Sperber, Steven
1
1986
On the p-adic continuation of the logarithmic derivative of certain hypergeometric functions. Zbl 0589.12021
Sperber, Steven; Sibuya, Yasutaka
1
1985
Newton polygons for general hyper-Kloosterman sums. Zbl 0582.14005
Sperber, Steven
5
1984
Twisted Kloosterman sums and \(p\)-adic Bessel functions. Zbl 0552.12010
Adolphson, Alan; Sperber, Steven
5
1984
Character sums in finite fields. Zbl 0561.12008
Adolphson, A.; Sperber, Steven
3
1984
On the p-adic analyticity of solutions of linear differential equations. Zbl 0476.12018
Bombieri, E.; Sperber, S.
4
1982
Growth of solutions of linear differential equations at a logarithmic singularity. Zbl 0502.12017
Adolphson, A.; Dwork, B.; Sperber, S.
2
1982
Arithmetic properties of power series solutions of algebraic differential equations. Zbl 0492.12012
Sibuya, Yasutaka; Sperber, Steven
7
1981
Convergence of power series solutions of p-adic nonlinear differential equation. Zbl 0602.12009
Sibuya, Yasutaka; Sperber, Steven
1
1981
Congruence properties of the hyperkloosterman sum. Zbl 0444.12014
Sperber, S.
8
1980
Exponential sums on the complement of a hypersurface. Zbl 0444.12016
Adolphson, Alan; Sperber, Steven
6
1980
On the L-functions associated with certain exponential sums. Zbl 0444.12015
Sperber, Steven I.
3
1980
Some new results on power-series solutions of algebraic differential equations. Zbl 0515.34013
Sibuya, Yasutaka; Sperber, Steven
1
1980
p-adic hypergeometric functions and their cohomology. Zbl 0408.12025
Sperber, S.
10
1977
all top 5

Cited by 183 Authors

32 Sperber, Steven I.
24 Adolphson, Alan
9 Castro, Francis Noel
7 Cao, Wei
7 Haessig, C. Douglas
7 Liu, Chunlei
7 Wan, Daqing
5 Niu, ChuanZe
5 Takeuchi, Kiyoshi
4 Cluckers, Raf
4 Hong, Shaofang
4 Medina, Luis A.
4 Whitcher, Ursula A.
3 Basu, Saugata
3 Blache, Régis
3 Denef, Jan
3 Doran, Charles F.
3 Katz, Nicholas Michael
3 Kelly, Tyler L.
3 Lauder, Alan G. B.
3 Libgober, Anatoly S.
3 Liu, WenXin
3 Ouyang, Yi
3 Rubio, Ivelisse M.
3 Salerno, Adriana
3 Veys, Willem
3 Voight, John Michael
3 Zhu, Hui June
2 Baldassarri, Francesco
2 Bandman, Tatiana M.
2 Christol, Gilles
2 Crew, Richard M.
2 Dwork, Bernard Morris
2 Fouvry, Etienne
2 Fu, Lei
2 González, Oscar E.
2 Kunyavskiĭ, Boris Èmmanuilovich
2 Long, Ling
2 Manjra, Said
2 Matsui, Yutaka
2 Nguyen, Kien Huu
2 Reichelt, Thomas
2 Remmal, Salah-eddine
2 Rojas-León, Antonio
2 Smith, Luke B.
2 Wright, James Robert
2 Yang, Jinbang
2 Yu, Jeng-Daw
2 Zúñiga-Galindo, Wilson A.
1 Aggarwal, Keshav
1 Ando, Kana
1 André, Yves
1 Balasubramanian, Ramachandran
1 Bank, Steven B.
1 Barone, Sal
1 Berthelot, Pierre
1 Bleybel, Ali
1 Booher, Jeremy
1 Bories, Bart
1 Brélivet, Thomas
1 Castro-Velez, F. N.
1 Castryck, Wouter
1 Chapman, Robin J.
1 Chen, Chao
1 Chen, Jianming
1 Chiarellotto, Bruno
1 Costa, Edgar
1 Dartyge, Cécile
1 Davis, Damek
1 Di Vizio, Lucia
1 Djanković, Goran
1 Dollarhide, John
1 Duan, Lian
1 Ebeling, Wolfgang
1 Esnault, Hélène
1 Esterov, Alexander I.
1 Feng, Weiduan
1 Férard, Éric
1 Figueroa, Raúl F.
1 Fischler, Stéphane
1 Franc, Cameron
1 Fraser, Robert
1 Fu, Lei
1 Fuselier, Jenny G.
1 Gannon, Terry
1 García López, Ricardo
1 Garion, Shelly
1 Gillot, Valérie
1 Grady, Daniel
1 Greuel, Gert-Martin
1 Grunewald, Fritz J.
1 Gusein-Zade, Sabir M.
1 Gusev, G. G.
1 Harvey, David I.
1 Heath-Brown, Roger
1 Hibi, Takayuki
1 Hickman, Jonathan
1 Hillar, Christopher J.
1 Holowinsky, Roman
1 Hoornaert, Kathleen
...and 83 more Authors
all top 5

Cited in 74 Serials

22 Journal of Number Theory
20 Finite Fields and their Applications
9 Proceedings of the American Mathematical Society
7 Duke Mathematical Journal
7 Mathematische Annalen
6 Compositio Mathematica
6 Transactions of the American Mathematical Society
6 International Journal of Number Theory
5 Advances in Mathematics
4 Israel Journal of Mathematics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Inventiones Mathematicae
3 Annales de l’Institut Fourier
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Zeitschrift
3 Monatshefte für Mathematik
2 Journal of Pure and Applied Algebra
2 Manuscripta Mathematica
2 Proceedings of the London Mathematical Society. Third Series
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Rendiconti del Seminario Matematico della Università di Padova
2 Discrete & Computational Geometry
2 International Journal of Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Journal de Théorie des Nombres de Bordeaux
2 Bulletin des Sciences Mathématiques
2 The Ramanujan Journal
2 Science China. Mathematics
2 Research in the Mathematical Sciences
1 Bulletin of the Australian Mathematical Society
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Czechoslovak Mathematical Journal
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series A
1 Journal of Soviet Mathematics
1 The Journal of Symbolic Logic
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Nagoya Mathematical Journal
1 Pacific Journal of Mathematics
1 Results in Mathematics
1 Annals of Global Analysis and Geometry
1 Journal of Complexity
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Experimental Mathematics
1 Journal of Algebraic Geometry
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Annales Mathématiques Blaise Pascal
1 Kyushu Journal of Mathematics
1 Selecta Mathematica. New Series
1 LMS Journal of Computation and Mathematics
1 Acta Mathematica Sinica. English Series
1 Journal of High Energy Physics
1 Integers
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Algebra & Number Theory
1 Cryptography and Communications
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Forum of Mathematics, Pi
1 Arnold Mathematical Journal

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